Parabolas

Question 1

On a coordinate plane, a parabola opens upward. It has a vertex at (0, 0), a focus at (0, 1.5) and a directrix at y = negative 1.5.

Revolt · Accepted Answer

x2 = 6y

Question 2

The focus of a parabola is located at (4,0), and the directrix is located at x = –4.

Revolt · Accepted Answer

y2 = 16x

Question 3

A parabola has a vertex at (0,0). The equation for the directrix of the parabola is x = –4.

Revolt · Accepted Answer

right

Question 4

Which graph represents the equation y2 = –4x?

Revolt · Accepted Answer

On a coordinate plane, a parabola opens to the left. It has a vertex at (0, 0), a focus at (negative 1, 0), and a directrix at x = 1.

Question 5

A general formula for a parabola is y2=4px.What is the value of p in the equation y2=−4x?

Revolt · Accepted Answer

P=−1

Question 6

The focus of a parabola is located at (0,–2). The directrix of the parabola is represented by y = 2.

Revolt · Accepted Answer

x2 = –8y

Question 7

A parabola, with its vertex at the origin, has a directrix at y = 3.Which statements about the parabola are true? Select two options.The focus is located at (0,–3).The parabola opens to the left. The p value can be determined by computing 4(3).The parabola can be represented by the equation x2 = –12y.The parabola can be represented by the equation y2 = 12x.

Revolt · Accepted Answer

The focus is located at (0,–3).; The parabola can be represented by the equation x2 = –12y.

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